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Finding the Third Proportional to 5,173.45 and 11,287.27

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Solution

The third proportional to 5,173.45 and 11,287.27 is: 24,626.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,173.45 : 11,287.27 = 11,287.27 : x
  2. Step 2: Convert to fraction form
    5,173.45/11,287.27 = 11,287.27/x
  3. Step 3: Cross multiply
    5,173.45x = 11,287.27 × 11,287.27
  4. Step 4: Simplify right side
    5,173.45x = 127,402,365.29
  5. Step 5: Solve for x
    x = 127,402,365.29/5,173.45
  6. Step 6: Final answer
    x = 24,626.18

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.